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Scale 4063: "Eptatic"

Scale 4063: Eptatic, Ian Ring Music Theory

Common Names

Zeitler
Eptatic

Analysis

Cardinality11 (undecatonic)
Pitch Class Set{0,1,2,3,4,6,7,8,9,10,11}
Forte Number11-1
Rotational Symmetrynone
Reflection Axes5
Palindromicno
Chiralityno
Hemitonia10 (multihemitonic)
Cohemitonia9 (multicohemitonic)
Imperfections1
Modes10
Prime?no
prime: 2047
Deep Scaleno
Interval Vector10101010105
Interval Spectrump10m10n10s10d10t5
Distribution Spectra<1> = {1,2}
<2> = {2,3}
<3> = {3,4}
<4> = {4,5}
<5> = {5,6}
<6> = {6,7}
<7> = {7,8}
<8> = {8,9}
<9> = {9,10}
<10> = {10,11}
Spectra Variation0.909
Maximally Evenyes
Myhill Propertyyes
Balancedno
Ridge Tones[10]
Coherenceno
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 4063 can be rotated to make 10 other scales. The 1st mode is itself.

2nd mode:
Scale 4079
Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
3rd mode:
Scale 4087
Scale 4087: Aeolatic, Ian Ring Music TheoryAeolatic
4th mode:
Scale 4091
Scale 4091: Thydatic, Ian Ring Music TheoryThydatic
5th mode:
Scale 4093
Scale 4093: Aerycratic, Ian Ring Music TheoryAerycratic
6th mode:
Scale 2047
Scale 2047: Monatic, Ian Ring Music TheoryMonaticThis is the prime mode
7th mode:
Scale 3071
Scale 3071: Solatic, Ian Ring Music TheorySolatic
8th mode:
Scale 3583
Scale 3583: Zylatic, Ian Ring Music TheoryZylatic
9th mode:
Scale 3839
Scale 3839: Mixolatic, Ian Ring Music TheoryMixolatic
10th mode:
Scale 3967
Scale 3967: Soratic, Ian Ring Music TheorySoratic
11th mode:
Scale 4031
Scale 4031: Godatic, Ian Ring Music TheoryGodatic

Prime

The prime form of this scale is Scale 2047

Scale 2047Scale 2047: Monatic, Ian Ring Music TheoryMonatic

Complement

The undecatonic modal family [4063, 4079, 4087, 4091, 4093, 2047, 3071, 3583, 3839, 3967, 4031] (Forte: 11-1) is the complement of the modal family [1] (Forte: 1-1)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 4063 is 3967

Scale 3967Scale 3967: Soratic, Ian Ring Music TheorySoratic

Transformations:

T0 4063  T0I 3967
T1 4031  T1I 3839
T2 3967  T2I 3583
T3 3839  T3I 3071
T4 3583  T4I 2047
T5 3071  T5I 4094
T6 2047  T6I 4093
T7 4094  T7I 4091
T8 4093  T8I 4087
T9 4091  T9I 4079
T10 4087  T10I 4063
T11 4079  T11I 4031

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 4061Scale 4061: Staptyllian, Ian Ring Music TheoryStaptyllian
Scale 4059Scale 4059: Zolyllian, Ian Ring Music TheoryZolyllian
Scale 4055Scale 4055: Dagyllian, Ian Ring Music TheoryDagyllian
Scale 4047Scale 4047: Thogyllian, Ian Ring Music TheoryThogyllian
Scale 4079Scale 4079: Ionatic, Ian Ring Music TheoryIonatic
Scale 4095Scale 4095: Chromatic, Ian Ring Music TheoryChromatic
Scale 3999Scale 3999: Dydyllian, Ian Ring Music TheoryDydyllian
Scale 4031Scale 4031: Godatic, Ian Ring Music TheoryGodatic
Scale 3935Scale 3935: Kataphyllian, Ian Ring Music TheoryKataphyllian
Scale 3807Scale 3807: Bagyllian, Ian Ring Music TheoryBagyllian
Scale 3551Scale 3551: Sagyllian, Ian Ring Music TheorySagyllian
Scale 3039Scale 3039: Godyllian, Ian Ring Music TheoryGodyllian
Scale 2015Scale 2015: Messiaen Mode 7, Ian Ring Music TheoryMessiaen Mode 7

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Bibliography